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The synthesis of soft pulses with a specified frequency response
Author(s) -
Shinnar Meir,
Bolinger Lizann,
Leigh John S.
Publication year - 1989
Publication title -
magnetic resonance in medicine
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.696
H-Index - 225
eISSN - 1522-2594
pISSN - 0740-3194
DOI - 10.1002/mrm.1910120111
Subject(s) - pulse (music) , bloch equations , pulse sequence , perturbation (astronomy) , range (aeronautics) , computer science , algorithm , physics , mathematics , nuclear magnetic resonance , materials science , telecommunications , quantum mechanics , detector , composite material
We propose a new approach to synthesizing shaped pulses, by first synthesizing a hard pulse sequence and then converting it to a soft pulse. In previous papers, we developed a new approach to synthesizing hard pulse sequences by exactly inverting the Bloch equation, which yields the optimal frequency response. These results can now be applied to shaped pulses. Specifically, one can specify (1) the total duration of the pulse, (2) the frequency range it is desired to perturb, (3) the perturbation desired and, (4) the frequency range it is desired not to perturb. One can then synthesize a shaped pulse which has the desired effect with the least possible error. This enables us to obtain very sharp inversion and π/2 pulses. © 1989 Academic Press, Inc.